Answer:
[tex] \frac{4 + (x + 1)}{x + 1} = \frac{16}{12} \\ \\ \frac{5 + x}{x + 1} = \frac{16}{12} \\ \\ 12(5 + x) = 16(x + 1) \\ 60 + 12x = 16x + 16 \\ 4x = 44 \\ x = 11[/tex]
Answer:
x = 11 cm
Step-by-step explanation:
Segments DE and BC are parallel (that's what the arrows tell you), so there are two similar triangles formed.
[tex]\triangle{ADE} \sim \triangle{ABC}[/tex]
Corresponding sides are in proportion, so
[tex]\frac{AD}{AB}=\frac{12}{16}[/tex]
The length of AB is (x + 1) + 4 = x + 5, and 12/16 simplifies to 3/4, so
[tex]\frac{x+1}{x+5}=\frac{3}{4}[/tex]
"Cross multiply" to get
[tex]4(x+1)=3(x+5)\\4x+4=3x+15\\4x=3x+11\\x=11[/tex]
in a scientific notation, M •10^n must be greater than or equal to 1 and less than
In a scientific notation, M •10^n must be greater than or equal to 1 and less than 10.
7) 17 is this number a integer, whole number, or rational number.
Answer:
Integer, whole number, and a rational number
Find the unit rate $30 for 2 1/2 hour of work.
Answer:
$12/ 1 hour of work
Step-by-step explanation:
30 : 2/12
Divide both sides by 2 1/2
12 : 1
Step by step please (variable expression)
Answer:
139
Step-by-step explanation:
Substitute x for 15.
9(15)+4
Then multiply:
135+4
And then add:
139
If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?
Answer:
The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"
Solve the blank boxes on the graph and answer the question in red
Answer:
I can’t see the red question.
Step-by-step explanation:
simplify
[tex] \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]
please show all work!
Answer:
[tex] \displaystyle - 3 \sqrt{5n} + 4 \sqrt{15} n[/tex]
Step-by-step explanation:
we would like to simplify the following expression:
[tex] \displaystyle \sqrt{15} ( - \sqrt{3n} + 4n)[/tex]
recall distribution property thus:
[tex] \displaystyle - \sqrt{3n} \sqrt{15} + 4n \sqrt{15} [/tex]
remember that,
[tex] \displaystyle \sqrt{a} \sqrt{b} = \sqrt{ab} [/tex]so assign variables:
[tex]a \implies 3n[/tex][tex]b \implies 15[/tex]simplify Multiplication:
[tex] \displaystyle - \sqrt{45n} + 4 \sqrt{15} n[/tex]
rewrite 45 as 9×5:
[tex] \displaystyle - \sqrt{9 \times 5n} + 4 \sqrt{15} n[/tex]
utilize the formula:
[tex] \displaystyle - \sqrt{9 } \sqrt{5n} + 4 \sqrt{15} n[/tex]
simplify square:
[tex] \displaystyle \boxed{- 3 \sqrt{5n} + 4 \sqrt{15} n}[/tex]
and we're done!
[tex]\boxed{\sf a(b+c)=ab+bc}[/tex]
[tex]\boxed{\sf \sqrt{p}\sqrt{q}=\sqrt{pq}}[/tex]
Solution[tex]\\ \rm\longmapsto \sqrt{15}(-\sqrt{3n}+4n)[/tex]
[tex]\\ \rm\longmapsto -\sqrt{15}\sqrt{3n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -\sqrt{3(15)n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -\sqrt{3(3)(5)n}+4\sqrt{15}n[/tex]
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{15n}[/tex]
Or we can break 15n
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3(5)n}[/tex]
[tex]\\ \rm\longmapsto -3\sqrt{5}n+4\sqrt{3}\sqrt{5n}[/tex]
2 dived (8+3x3-4^2) What is the answer
Answer:
2
Step By Step Explanation:
= 2*(8+3*3-4^2)
= 2*(8+3*3-16)
= 2*(8+9-16)
= 2*(17-16)
= 2*(1)
= 2*1
= 2
Answer: 2
Step-by-step explanation:
2/(8+9-16)
2/1 = 2
A football tournament with 12 teams is organised.
Each team will play each other exactly once.
b) Work out the total number of games played
Answer:
66 gamesStep-by-step explanation:
Team 1 will play the rest 11 teams = 11 gamesTeam 2 = 10 gamesTeam 3 = 9 games...Team 11 = 1 gameTotal games:
11 + 10 + 9 + .. + 1 = (1 + 11)*11/2 = 66A student’s incorrect attempt to simplify an exponential expression is show in the box
What is his mistake!!!!!
Answer:
A
Step-by-step explanation:
x^a/x^b=x^(a-b). General rule of exponents
PLEASE help!10 points
Answer:
-24
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.
Classify each number below as a rational number or irrational number
Answer:
[tex] - \frac{19}{10} \: » \: { \sf{rational}} \\ \\ 20\pi \: » \: { \sf{irrational}} \\ \\ { \sf{ - \sqrt{49} \:» \: rational }}[/tex]
because -√49 = -7
[tex]85. { \bar {93}} \: » \: { \sf{rational}} \\ \\ 2 \sqrt{5} \: » \: { \sf{irrational}}[/tex]
Simplify please explain step by step
Answer:
-4.4
Step-by-step explanation:
=3-[8-(7-6.4)]
=-4.4
First person to answer this correctly gets Branilist!
Answer:
9. -1
First combine the like terms (-5x and 3x), the move -9x to the other side. That equals 7x. Then move -16 (turn positive) and add it to -23, that equals -7. Divide both sides by 7.
10. 9
Add 1 to -24. Then move -23(turn positive) to the other side. Combine with -5 and you get 18. Then move 6r and subtract it from 8r. Divide both sides by 2.
11. 11
Subtract 7a from 9a= 2a. then add 3a and 2a and move 5a to the other side. Add -5a and 2a = -3a. Divide both sides by -3.
12. 5
Combine the like terms. Move -25 and turn it positive and then add it to 20= 45. Turn -2m positive and add it to 7m. Divide both sides by 9.
13. -5
Use the distributive property on both sides. Move 2k and subtract it from 4k= 2k. Move -8 and add it to -18= -10. Divide both sides by 2.
14. -2
Use the distributive property. Move -5n and add it to -6m= -m. Move 18 and subtract it from 20= 2. Divide both sides by -1.
15. -3
Use the distributive property and combine like terms. Move 4p to the other side and subtract from -7p= -11p. Change the sign of 16 and add to 17= 33. Divide both sides by -11.
16. -13
Use the distributive property (pay attention to signs) and combine the like terms. Move -8v, turn positive, and add to -6v= 2v. Move 14, turn negative, and combine with -12= -26. Divide both sides by 2.
Cho hình chóp có cạnh đáy là hình vuông cạnh bằng . Tam giác cân tại và mặt bên vuông góc với đáy, biết . Tính thể tích của khối chóp .
Answer:
Madarchod Benchod You Idiota You French
Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=
Hi ;-)
[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]
a piece of ribbon measures 4 meters how many pieces of 5 centimeters long can be cut from it
1 meter = 100 cm
4 meters x 100 = 400 cm
Divide total cm by cm per piece:
400/5 = 80
80 pieces.
Pre-Calc HELPP I’ll give brainliest
An interger p is two-third of another and their difference is 10.find the two interferes
Answer:
30 , 20
Step-by-step explanation:
Let the other number = x
[tex]p = \dfrac{2}{3}x\\[/tex]
x - p = 10
Plugin p = (2/3)x in this equation,
[tex]x -\dfrac{2}{3}x=10\\\\\dfrac{3}{3}x-\dfrac{2}{3}x=10\\\\\dfrac{1}{3}x=10\\[/tex]
Multiply both side by 3
x = 10*3
x = 30
[tex]p=\dfrac{2}{3}*30\\\\p= 2 * 10[/tex]
p = 20
Answer:
30 and 20
Step-by-step explanation:
We have an integer p and another [tex]\frac{2}{3}[/tex] p , their difference is 10 , so
p - [tex]\frac{2}{3}[/tex] p = 10 ( multiply through by 3 to clear the fraction )
3p - 2p = 30 , that is
p = 30
and [tex]\frac{2}{3}[/tex] × 30 = 2 × 10 = 20
The 2 integers are 30 and 20
Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer
If R is the midpoint of OS , RS = 2x - 4, ST = 4x – 1, and RT = 8x – 43, find QS.
Answer:
56
Step-by-step explanation:
The numerical length of QS is 128.
We have a Line Segment QT and a point R lies on the midpoint of QS.
We have to determine length of QS.
What is Mid - Point of a line?The mid - point of a line is a point that divides it into two parts of equal lengths.
According to question, we have -
RS = 2x - 4
ST = 4x – 1
RT = 8x – 43
Since, R is the midpoint of QS -
QR = RS = 2x - 4
QS = QR + RS = 2 x QR = 2(2x - 4)
Now -
ST = RT - RS
ST = 8x - 43 - 2x + 4
ST = 6x - 39
and
ST = 4x - 1 [Given]
Therefore -
6x - 39 = 4x - 1
6x - 4x = - 1 + 39
2x = 38
x = 19
Now -
QS = QR + RS = 2RS
QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128
Therefore - QS = 128
Hence, the numerical length of QS is 128.
To solve more questions on Lines and Lengths, visit the link below -
brainly.com/question/16345328
#SPJ6
find the sum of first 50 terms in the sequence 10n-15.
Answer:
485 bro just do it with calculator
Step-by-step explanation:
10×n-15
10×50-15
485
Answer:
12,000.
Step-by-step explanation:
First term = 10(1) - 15 = -5
50th term = 10(50) - 15 = 485
Sum of 50 terms = (50/2)(-5 + 485)
= 25 * 480
= 12,000
What is this expression in simplified form?
3/3 x 6/6
Answer:
18/18 = 1
Step-by-step explanation:
can you figure out what 2x° equals and (90-x)°
I HOPE IT WILL HELP YOU.
Have a great day ahead.
Need help ASAP pls thx
[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+28+28}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{70}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{2}{5}[/tex]
Answer:
28/60
7/15.
7/15R.f(green)
Hope it helps
7 out of 10 students can ride in a van on the field trip. In how many ways can the 7 students be selected
What is the volume of a cone with a height of 27 cm and a radius of 13 cm? Round your answer to the nearest tenth
Answer:
[tex]\huge\boxed{\sf V = 4778.4\ cm\³}[/tex]
Step-by-step explanation:
Given:
Height = 27 cm
Radius = 13 cm
Formula:
[tex]Volume \ of \ cone \ V = \frac{1}{3} \pi r^2h[/tex]
Solution:
V = 1/3 (3.14)(13)²(27)
V = (3.14)(169)(9)
V = 4778.4 cm³
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Solve for X when 7cos2x = 5
Answer: x = 22.21
Step-by-step explanation:
Given
7 · cos (2x) = 5
Divide 7 on both sides
7 · cos (2x) / 7 = 5 / 7
cos (2x) = 5/7
Divide cosine on both sides (meaning applying cos⁻¹ to the right-hand side)
2x = cos⁻¹ (5/7)
Divide 2 on both sides
2x / 2 = [cos⁻¹ (5/7)] / 2
[tex]\boxed {x=22.21}[/tex] (Rounded to the hundredth place)
Hope this helps!! :)
Please let me know if you have any questions
Find the perimeter of A(1, 1), B(7, 1), and C(1, 9).
Answer:
24units.
Step-by-step explanation:
steps are in picture.
If you have any question about it please ask.
Oceanside bike rental shop charges 14 dollars plus 7 dollars an hour for renting a bike. Sara paid 77 dollars to rent a bike. How many hours did she pay to have the bike checked out
Answer:
she paid for 77 hours
Step-by-step explanation:
First add 14+7 which equals 21 then keep adding 7 which is the total charge each our until you reach 77.